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Andreas93 [3]
3 years ago
7

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

x=2√5

Step-by-step explanation:

<u>1st method:</u>

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

<u>2nd method:</u>

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

<u>3rd method:</u>

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

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Answer: the store paid $18.3 for the sweater

Step-by-step explanation:

Let x represent the amount that the store paid for the sweater.

A store marks up the price of a sweater by $7.35. This means that the new or current price of the sweater at the store would be

7.35 + x

The total cost of the sweater is 25.65. Therefore, an equation to represent the problem would be

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2 years ago
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3 years ago
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five friends went out to dinner. each paid 13.75 for the meal including a 7 percent sales tax. what was the total cost of meal b
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2 years ago
Nathan has just bought a new car. He models the value, V, in dollars, of the car after t years as V(t) = 21,000(0.861)t. Based o
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Answer:

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Step-by-step explanation:

The value of car is modeled as:

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